SOLUTION: a square garden has a walkway 3 feet wide around its corner edge. If the area of the entire garden, including walkway is 18,000 square feet, then what are the dimensions of the pla

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a square garden has a walkway 3 feet wide around its corner edge. If the area of the entire garden, including walkway is 18,000 square feet, then what are the dimensions of the pla      Log On


   

Question 1175511: a square garden has a walkway 3 feet wide around its corner edge. If the area of the entire garden, including walkway is 18,000 square feet, then what are the dimensions of the planted area?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the dimension of the planted area (the square), in feet.


Then the garden, surrounded by the walkway of the uniform constant width is the square with the side length  (x + 2*3) = (x+6) feet.


Its area is 18000 square feet, which gives this equation


    (x+6)^2 = 18000.


Hence,   x+6 = sqrt%2818000%29 = 134 feet (approximately),  and  x = 134 - 6 = 128 feet.     ANSWER

Solved.



Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
corner "edge" or corner "edges"? "Its corner edge" as written means just one of the corners; not all four of them.

x the edge length of the square planted area
%28x%2B3%29%28x%2B3%29=18000

x%2B3=sqrt%2818000%29
x=-3%2Bsqrt%2818000%29

x=131.16------------but probably not the intended interpretation.